English

Trees, quaternion algebras and modular curves

Number Theory 2009-01-26 v1 Algebraic Geometry Group Theory

Abstract

We study the action on the Bruhat-Tits tree of unit groups of maximal orders in certain quaternion algebras over Fq(T)\mathbb{F}_q(T) and discuss applications to arithmetic geometry and group theory.

Keywords

Cite

@article{arxiv.0901.3735,
  title  = {Trees, quaternion algebras and modular curves},
  author = {Mihran Papikian},
  journal= {arXiv preprint arXiv:0901.3735},
  year   = {2009}
}

Comments

14 pages

R2 v1 2026-06-21T12:04:06.775Z